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Finding the Fourth Proportional to 256,406.80, 353,836.20 and 155,837.20

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Solution

The fourth proportional to 256,406.80, 353,836.20 and 155,837.20 is: 215,052.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,406.80 : 353,836.20 = 155,837.20 : x
  2. Step 2: Convert to fraction form
    256,406.80/353,836.20 = 155,837.20/x
  3. Step 3: Cross multiply
    256,406.80x = 353,836.20 × 155,837.20
  4. Step 4: Simplify right side
    256,406.80x = 55,140,842,666.64
  5. Step 5: Solve for x
    x = 55,140,842,666.64/256,406.80
  6. Step 6: Final answer
    x = 215,052.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.